AB is tangent to circle O at B. The diagram is not drawn to scale. If AB = 6 and AO = 11.7, what is the length of the radius (r)? Round the answer to the nearest tenth.
5.7
8.9
10.0
13.1
This is my version of the test U7 L7 Circles Unit test
1. AB is tangent to circle O at B. If AB=6 and AO=11.7, what is the length of the radius (r)?
A:5.7
B:8.9
C:10.0
D:13.1
Answer: C: 10.0
2. Assume that lines that appear to be tangent are tangent. O is the center of the circle. If m p=14 what is the value of x?
A:x=28
B:x=76
C:x=104
D:x=38
Answer: B: x=76
3. JK, KL, LJ are all tangent to circle O. If JA=10, AL=23, and CK=9, what is the perimeter of JKL?
A:84
B:66
C:42
D:38
Answer= A: 84
4. WZ and XR are diameters of circle C. What is the measure of ZWX. 92 and 50 degrees on the diagram.
A:322
B:230
C:272
D:38
Answer= B: 230
5. The radius of circle O is 28, and OC=9. What is the length of AB? Round the answer to the nearest tenth.
A:58.8
B:53.0
C:29.4
D:26.5
Answer= B: 53.0
6. Circle O is shown below. What is the measure of angle BAC? I see 73 degrees in my diagram.
A:53.5
B:146
C:36.5
D:107
Answer= A: 53.5
7. AC is tangent to circle O at A. If mBY=52, what is m YAC?
A:38
B:64
C:78
D:104
Answer= B: 64
8. In the circle, mBC=66. What is m BCP?
A:33
B:66
C:114
D:132
Answer= A: 33
9. In the circle, NA≅PA, MO⊥NA, RO⊥PA and MO=8 ft. What is PO?
A:64 ft
B:16 ft
C:8 ft
D:4 ft
Answer= D: 4 ft
10. The farthest distance a satellite signal can directly reach is the length of the segment tangent to the curve of Earth's surface. If the angle formed by the tangent satellite signals is 138, what is the measure of the intercepted arc on Earth?
A:84
B:276
C:42
D:69
Answer= C: 42
11. In the circle, m S=33, mRS=120, and RU is a tangent. What is m U?
A:43.5
B:54
C:87
D:27
Answer= D: 27
12. A circle with two chords is shown below. I see 6,14 and 26 on my diagram. What is the value of x? round to the nearest tenth.
A:x=60.7
B:x=156.0
C:x=3.2
D:x=11.1
Answer= D: x=11.1
13. If mAB=50 and mCD=24, what is the value of x?
A:x=26
B:x=62
C:x=37
D:x=74
Answer= C: x=37
14. In circle O, BC=17 and DC=30. What is the length of diameter BA? Round the answer to the nearest tenth.
A:52.9
B:69.9
C:35.9
D:15.9
Answer= C: 35.9
15. A manufacturer is designing a two-wheeled cart that can maneuver through tight spaces. On one test model, the wheel placement (center) and radius are modeled by the equation (x+2)^2+(y-0.5)^2=16. Which graph shows the position and radius of the wheel?
Answer= For this one it should be the one with point (-2,0.5) and the radius should be 4 so just look at the inside of the circle and make sure it has 4 units inside from left to right.
16. AB is tangent to circle O at A. If AO=30 and BC=48, what is AB?
A:84
B:78
C:76
D:72
Answer= D: 72
17. A circle with radius x is shown below. What is the value of x? Round the answer to the nearest tenth. I see 28 and 8.
A:x=29.1
B:x=26.8
C:22.0
D:16.1
Answer= D:16.1
18. Circle O is shown below. If m R=24, what is m O?
A:48
B:96
C:24
D:12
Answer= A: 48
19. Find AB. Round to the nearest tenth id necessary. I see 6 and 14 on my diagram.
A:4.7
B:10
C:32.7
D:11.3
Answer= D:11.3
20. In the circle, AB=42, BC=18, and CD=4. What is the value of x?
A:x=77
B:x=185
C:x=266
D:x=270
Answer= C: x=266
21,22 and 23 are already answered above me.
have y'all not figured out yet that they randomize the unit tests and that you have to mix and mash different answers
Those answers r wrong
Look around for more answers, happy cheating.
the above comment is me, i just forgot to put my name.
GEOM B U7 L7 Circles Unit Test
1. A, 19.6
2. B, 64
3. B, 230°
4. A, 42.7
5. B, 46.5°
6. D, 58°
7. D, 31°
8. D, 54°
9. B, x = 24.0
10. B, 45.5
11. B (small circle on the right of the graph)
12. A, 45
13. A, x = 11.6
14. C, 56°
15. C, x = 266
16. Essay question
If you put the same thing just try to word it differently, you're welcome. <3
My answer:
An isosceles triangle is a triangle that has at least two equal sides and because this is an isosceles triangle, 8x -10 = 6x.
8x - 10 =6x
8x - 6x = 10
2x = 10
x = 5.
17. Essay question
My answer:
(x - p)² + ( y - q )² = r², p and q are the coordinates of the center of the circle.
The position of the source is (- 6, - 4)
An the range is r² = 36 ⇒ r = 6
18. Essay question
My answer:
A. O = ((px + qx) /2, (py + qy) /2) = ((-10 + 4) /2, (-2 + 6) /2) = (-3, 2)
B. Radius = Oq
sqrt((Ox - qx)² + (Oy - qy)²)
sqrt((-3 - 4)² + (2 - 6)²)
sqrt(7² + 4²)
sqrt(65)
C. (x - -3)² + (y - 2)² = (sqrt(65))²
(x + 3)² + (y - 2)² = 65
1. A 10.0
2. A 84
3. D 243
4. C 58.5
5. A 53.5
6. C 73
7. A 33
8. D 54
9. A 15.8
10. B 45.5
11. C
12. D 72
13. A x=11.6
14. B 64
15. B x=53
you can find the essay questions answers online.
Can't see the diagram, but this looks like a very common question I have seen many times, so
OB^2 + 6^2 = 11.7^2
OB^2 = 100.89
OB = appr 10.0